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Paper · arXiv

Equilibrium Learning in Unbounded Stochastic Games with Gaussian Transitions

Learning equilibria from data is difficult when several decision makers interact indefinitely and the system state has no prescribed bounds. We examine discounted general-sum stochastic games with compact action sets and an unknown nonlinear drift observed through Gaussian transition noise. The proposed procedure uses a single uninterrupted trajectory to update Gaussian-process models of the drift and to solve successively refined finite games. We prove a perturbation result showing that stability of equilibrium selection, together with uniform KL accuracy of Gaussian transition models, is sufficient for regional uniform convergence of the induced values and approximate Nash behavior in t...

AuthorsJonathan Anthony Mavroforas, Fred Roosta
Primary categorystat.ML
Published12 October 2026
Last updated at source12 October 2026
stat.MLcs.LG
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